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Finding the Fourth Proportional to 963.25, 1,445.38 and 524.81

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Solution

The fourth proportional to 963.25, 1,445.38 and 524.81 is: 787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.25 : 1,445.38 = 524.81 : x
  2. Step 2: Convert to fraction form
    963.25/1,445.38 = 524.81/x
  3. Step 3: Cross multiply
    963.25x = 1,445.38 × 524.81
  4. Step 4: Simplify right side
    963.25x = 758,552.18
  5. Step 5: Solve for x
    x = 758,552.18/963.25
  6. Step 6: Final answer
    x = 787.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.